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Finding the Fourth Proportional to 52,809.57, 79,214.34 and 17,749.22

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Solution

The fourth proportional to 52,809.57, 79,214.34 and 17,749.22 is: 26,623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,809.57 : 79,214.34 = 17,749.22 : x
  2. Step 2: Convert to fraction form
    52,809.57/79,214.34 = 17,749.22/x
  3. Step 3: Cross multiply
    52,809.57x = 79,214.34 × 17,749.22
  4. Step 4: Simplify right side
    52,809.57x = 1,405,992,351.74
  5. Step 5: Solve for x
    x = 1,405,992,351.74/52,809.57
  6. Step 6: Final answer
    x = 26,623.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.